What is the flux of a vector field?

In vector calculus flux is a scalar quantity, defined as the surface integral of the perpendicular component of a vector field over a surface.

How do you understand flux?

Flux is the amount of “something” (electric field, bananas, whatever you want) passing through a surface. The total flux depends on strength of the field, the size of the surface it passes through, and their orientation.

What is meant by the flux of the vector field F across the surface S?

If the vector field F represents the flow of a fluid, then the surface integral of F will represent the amount of fluid flowing through the surface (per unit time). The amount of the fluid flowing through the surface per unit time is also called the flux of fluid through the surface.

What is flux in astrophysics?

Flux (or radiant flux), F, is the total amount of energy that crosses a unit area per unit time. Flux is measured in joules per square metre per second (joules/m2/s), or watts per square metre (watts/m2).

How the concept of flux is helpful in calculating electric field?

In electromagnetism, electric flux is the measure of the electric field through a given surface, although an electric field in itself cannot flow. It is a way of describing the electric field strength at any distance from the charge causing the field.

What is electric flux answer?

Electric Flux: Electric flux is a number of electric lines of forces which posses through any cross sectional area when the cross sectional area in kept perpendicular to the direction of electric field. Electric flux is scalar quantity which is denoted by ΦE. S.I. Unit is Neutron(metre2/ coulomb)

How does flux relate to intensity?

Flux is measured in Watts per Square meter, and is a measure of the net radiant energy passing through a given area, independent of the direction of that energy. Intensity, on the other hand, is measured in Watts per Square meter per Steradian.

What is the meaning of flux in vector calculus?

Flux is the amount of “something” (electric field, bananas, whatever you want) passing through a surface. The total flux depends on strength of the field, the size of the surface it passes through, and their orientation. Your vector calculus math life will be so much better once you understand flux.

What is total flux and what does it depend on?

Total flux also depends on the orientation of the field and the surface. When our surface completely faces the field it captures maximum flux, like a sail facing directly into the wind.

What is fluxacross s?

The fluxacross S is the volume of fluid crossing S per unit time. The figure below shows a surface S and the vector field F at various points on the surface. What is the formula for the flux? Let us consider the flux through an infinitesimal piece of the surface with area dS above the point (x_0,y_0) in the xy plane.

What is the numerical value of the electric flux?

The numerical value of the electric flux depends on the magnitudes of the electric field and the area, as well as the relative orientation of the area with respect to the direction of the electric field. A macroscopic analogy that might help you imagine this is to put a hula hoop in a flowing river.